Finding the Fourth Proportional to 10,026.86, 13,822.64 and 7,033.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026.86 : 13,822.64 = 7,033.42 : x
2. Step 2: Convert to fraction form
   10,026.86/13,822.64 = 7,033.42/x
3. Step 3: Cross multiply
   10,026.86x = 13,822.64 × 7,033.42
4. Step 4: Simplify right side
   10,026.86x = 97,220,363.52
5. Step 5: Solve for x
   x = 97,220,363.52/10,026.86
6. Step 6: Final answer
   x = 9,695.99